25–29 Jul 2011
SPDO, University of Manchester
UTC timezone

Complex Factor Analysis

26 Jul 2011, 11:00
40m
Lovell seminar room 3.225 (SPDO, University of Manchester)

Lovell seminar room 3.225

SPDO, University of Manchester

SPDO - Alan Turing Building, Upper Brook Street, M13 9PL

Speaker

Mr Ahmad Mouri Sardarabadi (Delft University of Technology)

Description

Many techniques for array processing assume either that the system has a calibrated array or that the noise covariance matrix is known. If the noise covariance matrix is unknown, training or other calibration techniques are used to find it. Here another approach to the problem of unknown noise covariance is presented. The factor analysis (FA) model is used to model the data. In order to make the theory applicable in telecommunication and radio astronomy, the model is extended to the case of complex numbers. The necessary mathematical tools for estimation, detection and performance analysis are derived. The maximum likelihood estimator for the FA model in the case of proper complex Gaussian distributed noise and signals is given. Two different iterative algorithms for finding the MLE of the model parameters are presented. The necessary iteration steps for an alternating least squares algorithm are also presented. This is an initial attempt for developing the factor analysis as a tool for signal processing. The multivariate nature of the theory makes it a good candidate for solving many problems in telecommunication and radio astronomy.

Primary author

Mr Ahmad Mouri Sardarabadi (Delft University of Technology)

Presentation materials